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Finding the Fourth Proportional to 2,896.91, 3,997.64 and 1,701.87

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Solution

The fourth proportional to 2,896.91, 3,997.64 and 1,701.87 is: 2,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.91 : 3,997.64 = 1,701.87 : x
  2. Step 2: Convert to fraction form
    2,896.91/3,997.64 = 1,701.87/x
  3. Step 3: Cross multiply
    2,896.91x = 3,997.64 × 1,701.87
  4. Step 4: Simplify right side
    2,896.91x = 6,803,455.08
  5. Step 5: Solve for x
    x = 6,803,455.08/2,896.91
  6. Step 6: Final answer
    x = 2,348.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.